Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation

Details Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation

2010-02-09

arxiv.org/abs/1002.1801v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

24 pages, 5 figures

Scientific paper

We propose new semi-implicit numerical methods for the integration of the stochastic Landau-Lifshitz equation with built-in angular momentum conservation. The performance of the proposed integrators is tested on the 1D Heisenberg chain. For this system, our schemes show better stability properties and allow us to use considerably larger time steps than standard explicit methods. At the same time, these semi-implicit schemes are also of comparable accuracy to and computationally much cheaper than the standard midpoint implicit method. The results are of key importance for atomistic spin dynamics simulations and the study of spin dynamics beyond the macro spin approximation.

Affiliated with

Also associated with

No associations

Rating

Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-124367